<i>p</i> ‐Nuclear Operators on Spaces of Continuous Functions
ABSTRACT We study the relationship between ‐nuclear operators on the space of continuous functions and properties of their representing Borel measures. In particular, we show that a weakly compact operator on the space of scalar‐valued continuous functions is ‐nuclear if and only if its representing measure has an appropriate Pettis integrable derivative.
Authors
- Juliusz Stochmal (ORCID: https://orcid.org/0000-0002-0895-8681)
Institutions
- Kazimierz Wielki University in Bydgoszcz (PL)
- Institute of Mathematics (PL)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2026-07-02
- DOI
- https://doi.org/10.1002/mana.70189
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00